Ensemble.m

A parallel wrapper around GRAPE that enables ensemble optimal control optimisations. This function handles systems with multiple control power levels, multiple resonance offsets, multistate transfers, and ensembles of drift Liouvillians.

Syntax

    [fidelity,gradient,hessian]=ensemble(waveform,spin_system)

Parameters

  waveform  - control coefficients for each control operator, rad/s

Outputs

  fidelity      - figure of merit for the overlap of the current state
                  of the system and the desired state(s). When penalty
                  methods are specified, fidelity is returned as an ar-
                  ray separating the penalties from the simulation
                  fidelity.

  gradient      - gradient of the fidelity with respect to the control 
                  sequence. When penalty methods are specified, gradi-
                  ent is returned as an array separating penalty gra-
                  dients from the fidelity gradient.

  hessian       - Hessian of the fidelity with respect to the control 
                  sequence. When penalty methods are specified, gradi-
                  ent is returned as an array separating penalty Hes-
                  sians from the fidelity Hessian.

Notes

This is a low level function that is not designed to be called directly. Use grape_xy.m and grape_phase.m instead.

See also

Optimal control module

Version 2.0, authors: Ilya Kuprov, David Goodwin